4 papers
A contact version of Kirby's theorem
Marc Kegel, Eric Stenhede, Vera Vértesi
A theorem of Ding and Geiges states that every closed, connected contact -manifold can be obtained from the standard tight contact -sphere by contact -surgery along a…
Common positive stabilisation of open book decompositions
Joan Licata, Vera Vértesi
The Giroux Correspondence states that two open book decompositions supporting the same contact structure are related by a sequence of positive open book stabilisations and destabil…
Liftable braids and the coloured braid groupoid
Joan Licata, Vera Vértesi
When is a cover of the disc branched over marked points, the braid group acts on the disc by homeomorphisms fixing the marked points setwis…
The Giroux Correspondence in dimension 3
Joan Licata, Matthias Scharitzer, Vera Vértesi
This paper proves the Giroux Correspondence in dimension three using Heegaard splittings of contact manifolds. In two of the authors earlier paper they proved the Giroux Correspond…